Lectures on Constructive Approximation Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball /

• Κύριος συγγραφέας: Michel, Volker (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
• Σειρά: Applied and Numerical Harmonic Analysis
• Θέματα: Mathematics.; Approximation theory.; Fourier analysis.; Special functions.; Numerical analysis.; Physics.; Approximations and Expansions.; Special Functions.; Fourier Analysis.; Mathematical Methods in Physics.; Numerical Analysis.

Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polyno...

Πίνακας περιεχομένων:

• Introduction: the Problem to be Solved
• Part I Basics
• Basic Fundamentals—What You Need to Know
• Approximation of Functions on the Real Line
• Part II Approximation on the Sphere
• Basic Aspects
• Fourier Analysis
• Spherical Splines
• Spherical Wavelet Analysis
• Spherical Slepian Functions
• Part III Approximation on the 3D Ball
• Orthonormal Bases
• Splines
• Wavelets for Inverse Problems on the 3D Ball
• The Regularized Functional Matching Pursuit (RFMP)
• References
• Index.